{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:FEXL62JUN34ZROCA3O6K2BTBWR","short_pith_number":"pith:FEXL62JU","canonical_record":{"source":{"id":"2003.08940","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-03-19T09:39:17Z","cross_cats_sorted":[],"title_canon_sha256":"efc5f5d7fdbebb4c2b18c8d7fe56effa1c236f050ba67ef49c508c8a4cb07da2","abstract_canon_sha256":"9c5ce8d5c3e053a55e40f57f6714f89953d69f0a1067d81d0d7d50fbffac6e2c"},"schema_version":"1.0"},"canonical_sha256":"292ebf69346ef998b840dbbcad0661b453c156b84732ae10943729979f11d67a","source":{"kind":"arxiv","id":"2003.08940","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.08940","created_at":"2026-07-05T00:49:27Z"},{"alias_kind":"arxiv_version","alias_value":"2003.08940v1","created_at":"2026-07-05T00:49:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.08940","created_at":"2026-07-05T00:49:27Z"},{"alias_kind":"pith_short_12","alias_value":"FEXL62JUN34Z","created_at":"2026-07-05T00:49:27Z"},{"alias_kind":"pith_short_16","alias_value":"FEXL62JUN34ZROCA","created_at":"2026-07-05T00:49:27Z"},{"alias_kind":"pith_short_8","alias_value":"FEXL62JU","created_at":"2026-07-05T00:49:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:FEXL62JUN34ZROCA3O6K2BTBWR","target":"record","payload":{"canonical_record":{"source":{"id":"2003.08940","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-03-19T09:39:17Z","cross_cats_sorted":[],"title_canon_sha256":"efc5f5d7fdbebb4c2b18c8d7fe56effa1c236f050ba67ef49c508c8a4cb07da2","abstract_canon_sha256":"9c5ce8d5c3e053a55e40f57f6714f89953d69f0a1067d81d0d7d50fbffac6e2c"},"schema_version":"1.0"},"canonical_sha256":"292ebf69346ef998b840dbbcad0661b453c156b84732ae10943729979f11d67a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:49:27.695349Z","signature_b64":"cU38IaGSu0Pv6Hz3GRogh7HRs83Q9LkFsO72UZv6m/0gWIiTNtg+tyNXLOXrnG98d1tACBBFXyV7tzsi5HU3AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"292ebf69346ef998b840dbbcad0661b453c156b84732ae10943729979f11d67a","last_reissued_at":"2026-07-05T00:49:27.694983Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:49:27.694983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2003.08940","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:49:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8kBfRYrks2nbfSnD3JfECrwW0FUbwbqKjpdIffgYrzqa83hkgIi/nBAbjBzb8R7z+1UhWbdFYPu7CIHHqfEBDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T23:12:14.985235Z"},"content_sha256":"10f21628f1bacc469e2b74418d9013af4425fba3c184dcda9dda2138b0a49ad1","schema_version":"1.0","event_id":"sha256:10f21628f1bacc469e2b74418d9013af4425fba3c184dcda9dda2138b0a49ad1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:FEXL62JUN34ZROCA3O6K2BTBWR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Theory of Electronic Relaxation in solution with ultra-short sink of different shapes: An exact analytical solution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Aniruddha Chakraborty, Swati Mudra","submitted_at":"2020-03-19T09:39:17Z","abstract_excerpt":"We propose a very simple one dimensional analytically solvable model for understanding the problem of electronic relaxation of molecules in solution. This problem is modeled by a particle diffusing under the influence of parabolic potential in presence of a sink of ultra-short width. The diffusive motion is described by the Smoluchowski equation and shape of the sink is represented by 1) ultra-short Gaussian, 2) ultra-short exponential and 3) ultra-short rectangular function at arbitrary position. Rate constants are found to be sensitive to the shape of the sink function, even though the width"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.08940","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2003.08940/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:49:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aBrAKUvwy/OiDbDA6OSqy7W3SmbmmLISwYxiIMjmZCHEP14Eb8QhOKWw8cYva8xYT8WY2oobTfczxRRO4ZHnCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T23:12:14.986536Z"},"content_sha256":"8306a48a1e7de13c0024f43bf8a92f834abdef4d5de43e9d32643df0ca3487a4","schema_version":"1.0","event_id":"sha256:8306a48a1e7de13c0024f43bf8a92f834abdef4d5de43e9d32643df0ca3487a4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FEXL62JUN34ZROCA3O6K2BTBWR/bundle.json","state_url":"https://pith.science/pith/FEXL62JUN34ZROCA3O6K2BTBWR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FEXL62JUN34ZROCA3O6K2BTBWR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-14T23:12:14Z","links":{"resolver":"https://pith.science/pith/FEXL62JUN34ZROCA3O6K2BTBWR","bundle":"https://pith.science/pith/FEXL62JUN34ZROCA3O6K2BTBWR/bundle.json","state":"https://pith.science/pith/FEXL62JUN34ZROCA3O6K2BTBWR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FEXL62JUN34ZROCA3O6K2BTBWR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:FEXL62JUN34ZROCA3O6K2BTBWR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9c5ce8d5c3e053a55e40f57f6714f89953d69f0a1067d81d0d7d50fbffac6e2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-03-19T09:39:17Z","title_canon_sha256":"efc5f5d7fdbebb4c2b18c8d7fe56effa1c236f050ba67ef49c508c8a4cb07da2"},"schema_version":"1.0","source":{"id":"2003.08940","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.08940","created_at":"2026-07-05T00:49:27Z"},{"alias_kind":"arxiv_version","alias_value":"2003.08940v1","created_at":"2026-07-05T00:49:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.08940","created_at":"2026-07-05T00:49:27Z"},{"alias_kind":"pith_short_12","alias_value":"FEXL62JUN34Z","created_at":"2026-07-05T00:49:27Z"},{"alias_kind":"pith_short_16","alias_value":"FEXL62JUN34ZROCA","created_at":"2026-07-05T00:49:27Z"},{"alias_kind":"pith_short_8","alias_value":"FEXL62JU","created_at":"2026-07-05T00:49:27Z"}],"graph_snapshots":[{"event_id":"sha256:8306a48a1e7de13c0024f43bf8a92f834abdef4d5de43e9d32643df0ca3487a4","target":"graph","created_at":"2026-07-05T00:49:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2003.08940/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a very simple one dimensional analytically solvable model for understanding the problem of electronic relaxation of molecules in solution. This problem is modeled by a particle diffusing under the influence of parabolic potential in presence of a sink of ultra-short width. The diffusive motion is described by the Smoluchowski equation and shape of the sink is represented by 1) ultra-short Gaussian, 2) ultra-short exponential and 3) ultra-short rectangular function at arbitrary position. Rate constants are found to be sensitive to the shape of the sink function, even though the width","authors_text":"Aniruddha Chakraborty, Swati Mudra","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-03-19T09:39:17Z","title":"Theory of Electronic Relaxation in solution with ultra-short sink of different shapes: An exact analytical solution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.08940","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:10f21628f1bacc469e2b74418d9013af4425fba3c184dcda9dda2138b0a49ad1","target":"record","created_at":"2026-07-05T00:49:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9c5ce8d5c3e053a55e40f57f6714f89953d69f0a1067d81d0d7d50fbffac6e2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-03-19T09:39:17Z","title_canon_sha256":"efc5f5d7fdbebb4c2b18c8d7fe56effa1c236f050ba67ef49c508c8a4cb07da2"},"schema_version":"1.0","source":{"id":"2003.08940","kind":"arxiv","version":1}},"canonical_sha256":"292ebf69346ef998b840dbbcad0661b453c156b84732ae10943729979f11d67a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"292ebf69346ef998b840dbbcad0661b453c156b84732ae10943729979f11d67a","first_computed_at":"2026-07-05T00:49:27.694983Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:49:27.694983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cU38IaGSu0Pv6Hz3GRogh7HRs83Q9LkFsO72UZv6m/0gWIiTNtg+tyNXLOXrnG98d1tACBBFXyV7tzsi5HU3AA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:49:27.695349Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.08940","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10f21628f1bacc469e2b74418d9013af4425fba3c184dcda9dda2138b0a49ad1","sha256:8306a48a1e7de13c0024f43bf8a92f834abdef4d5de43e9d32643df0ca3487a4"],"state_sha256":"2f3678e7c298eaa53cdc77761850d0a3a2829320eed830b1821f41c6bddb2f23"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/k2MSNIvt2PsEmLzrxt4jttiwX5Y174DQmOpzwPj+urfV2GnlWOHTFP2tJtGq9E39s5djUoWE2hO/MjXHHhQAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T23:12:14.991397Z","bundle_sha256":"682b417aa1c9d848ffdea5897ae7f0fb379ab697da8cc0218fddea0bf44aec92"}}